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Simplifying 1 + 4p + 1 + -1p = -8(p + 6) + -3(p + 2) Reorder the terms: 1 + 1 + 4p + -1p = -8(p + 6) + -3(p + 2) Combine like terms: 1 + 1 = 2 2 + 4p + -1p = -8(p + 6) + -3(p + 2) Combine like terms: 4p + -1p = 3p 2 + 3p = -8(p + 6) + -3(p + 2) Reorder the terms: 2 + 3p = -8(6 + p) + -3(p + 2) 2 + 3p = (6 * -8 + p * -8) + -3(p + 2) 2 + 3p = (-48 + -8p) + -3(p + 2) Reorder the terms: 2 + 3p = -48 + -8p + -3(2 + p) 2 + 3p = -48 + -8p + (2 * -3 + p * -3) 2 + 3p = -48 + -8p + (-6 + -3p) Reorder the terms: 2 + 3p = -48 + -6 + -8p + -3p Combine like terms: -48 + -6 = -54 2 + 3p = -54 + -8p + -3p Combine like terms: -8p + -3p = -11p 2 + 3p = -54 + -11p Solving 2 + 3p = -54 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. 2 + 3p + 11p = -54 + -11p + 11p Combine like terms: 3p + 11p = 14p 2 + 14p = -54 + -11p + 11p Combine like terms: -11p + 11p = 0 2 + 14p = -54 + 0 2 + 14p = -54 Add '-2' to each side of the equation. 2 + -2 + 14p = -54 + -2 Combine like terms: 2 + -2 = 0 0 + 14p = -54 + -2 14p = -54 + -2 Combine like terms: -54 + -2 = -56 14p = -56 Divide each side by '14'. p = -4 Simplifying p = -4
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